{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LC2PPM26YLF3OO5YHEAC4TI2NI","short_pith_number":"pith:LC2PPM26","schema_version":"1.0","canonical_sha256":"58b4f7b35ec2cbb73bb839002e4d1a6a064c789a0380b85a8bfabcc97a09ba04","source":{"kind":"arxiv","id":"1110.4362","version":1},"attestation_state":"computed","paper":{"title":"Cluster update for tensor network states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Frank Verstraete, Ling Wang","submitted_at":"2011-10-19T19:48:55Z","abstract_excerpt":"We propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This generalizes the so- called simple update method of Jiang et al. [Phys. Rev. Lett. 101, 090603 (2008)] and the updating schemes in the single layer picture of Pi\\v{z}orn et al. [Phys. Rev. A 83, 052321 (2011)]. A finite-size scaling of the observables as a function of the cluster size provides a remarkable improvement in the accuracy as compared to the simple update scheme. We benchmark our results on the hand of the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.4362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-10-19T19:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"1948df0136b045cc2e8b16cdb3f62aa60817984f5ad7e32553e43ce97460896b","abstract_canon_sha256":"f459cb041c28bad12cf7286d3381b7d733fa7d64d0442db95b9b9e92874eeb86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:37.505711Z","signature_b64":"rD8LJ8SBcgrygJ8Skx1sgkL1aO3NJ8qeXmy44D9Z3tRrdpgQxWz3TitWfRS1C9WwtilIXbYf+RvnZ8WgH8XODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58b4f7b35ec2cbb73bb839002e4d1a6a064c789a0380b85a8bfabcc97a09ba04","last_reissued_at":"2026-05-18T04:10:37.504953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:37.504953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cluster update for tensor network states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Frank Verstraete, Ling Wang","submitted_at":"2011-10-19T19:48:55Z","abstract_excerpt":"We propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This generalizes the so- called simple update method of Jiang et al. [Phys. Rev. Lett. 101, 090603 (2008)] and the updating schemes in the single layer picture of Pi\\v{z}orn et al. [Phys. Rev. A 83, 052321 (2011)]. A finite-size scaling of the observables as a function of the cluster size provides a remarkable improvement in the accuracy as compared to the simple update scheme. We benchmark our results on the hand of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4362","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.4362","created_at":"2026-05-18T04:10:37.505087+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.4362v1","created_at":"2026-05-18T04:10:37.505087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4362","created_at":"2026-05-18T04:10:37.505087+00:00"},{"alias_kind":"pith_short_12","alias_value":"LC2PPM26YLF3","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LC2PPM26YLF3OO5Y","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LC2PPM26","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2508.05406","citing_title":"Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions","ref_index":38,"is_internal_anchor":true},{"citing_arxiv_id":"2512.14414","citing_title":"Single-layer framework of variational tensor network states","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12907","citing_title":"Grassmann tensor networks","ref_index":120,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI","json":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI.json","graph_json":"https://pith.science/api/pith-number/LC2PPM26YLF3OO5YHEAC4TI2NI/graph.json","events_json":"https://pith.science/api/pith-number/LC2PPM26YLF3OO5YHEAC4TI2NI/events.json","paper":"https://pith.science/paper/LC2PPM26"},"agent_actions":{"view_html":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI","download_json":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI.json","view_paper":"https://pith.science/paper/LC2PPM26","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.4362&json=true","fetch_graph":"https://pith.science/api/pith-number/LC2PPM26YLF3OO5YHEAC4TI2NI/graph.json","fetch_events":"https://pith.science/api/pith-number/LC2PPM26YLF3OO5YHEAC4TI2NI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI/action/storage_attestation","attest_author":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI/action/author_attestation","sign_citation":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI/action/citation_signature","submit_replication":"https://pith.science/pith/LC2PPM26YLF3OO5YHEAC4TI2NI/action/replication_record"}},"created_at":"2026-05-18T04:10:37.505087+00:00","updated_at":"2026-05-18T04:10:37.505087+00:00"}